PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
2 answers:
Answer:
(images to help with graph are below)
Step-by-step explanation:
okay! so once you get the hang of this, it is super super easy.
so the y-intercept is a point on that long line going up and down on the graph. it shows where the line intersects the middle!
so here it says that the y-intercept (y-int for short) is 2. so we will simply mark a little point on 2.
now the slope. the slope is -4. this can be written as -4/1. the -4 is on the top so i represents the y values. and the 1 is on the bottom so it represents the x values.
we know that when graphing, x goes from side to side and y goes up and down.
if an x value is positive you move it to the right (forwards), if it is negative you move it to the left (backwards). if a y value is positive you move it upwards, if it is negative you move it downwards. so we want to start graphing with our x.
The x value is 1 (because it is in the bottom of the slope! -4/1!). So we will move one point from the y-int (the point we marked).
Now for the y values. The y value is -4 (again, taken from the -4/1. the top number is the y value). FROM THE PLACE WE LEFT OFF FOR THE X VALUES (we left off at point (1,2) because we moved it one to the right!), we will move 4 points DOWN because it is negative (-4). Mark this place with a dot!
We should now have the points (0,2) and (1,-2) marked with a dot. draw a line through the 2 dots! this is ur finished graph. notice how the line intersects the middle on the y-intercept!! that will always happen.
Lastly, the equation! the formula for slope intercept form is y=mx+b
m is always your slope. b is your y-int. and y and x stay blank (for now. in the future you might use those spots). so simply fill in m and b!
the slope is -4. so m = -4
the y-int is 2. so b = 2
the finished equation should look like this:
y = -4x + 2
I hope this helped !!!
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Answer:
(a) Customer will not purchase the light bulbs at significance level of 0.05
(b) Customer will purchase the light bulbs at significance level of 0.01 .
Step-by-step explanation:
We are given that Light bulbs of a certain type are advertised as having an average lifetime of 750 hours. A random sample of 50 bulbs was selected, and the following information obtained:
Average lifetime = 738.44 hours and a standard deviation of lifetimes = 38.2 hours.
Let Null hypothesis, :
= 750 {means that the true average lifetime is same as what is advertised}
Alternate Hypothesis, :
< 750 {means that the true average lifetime is smaller than what is advertised}
Now, the test statistics is given by;
T.S. = ~
where, X bar = sample mean = 738.44 hours
s = sample standard deviation = 38.2 hours
n = sample size = 50
So, test statistics = ~
= -2.14
(a) Now, at 5% significance level, t table gives critical value of -1.6768 at 49 degree of freedom. Since our test statistics is less than the critical value of t, so which means our test statistics will lie in the rejection region and we have sufficient evidence to reject null hypothesis.
Therefore, we conclude that the true average lifetime is smaller than what is advertised and so consumer will not purchase the light bulbs.
(b) Now, at 1% significance level, t table gives critical value of -2.405 at 49 degree of freedom. Since our test statistics is higher than the critical value of t, so which means our test statistics will not lie in the rejection region and we have insufficient evidence to reject null hypothesis.
Therefore, we conclude that the true average lifetime is same as what it has been advertised and so consumer will purchase the light bulbs.